10027444560 has 480 divisors, whose sum is σ = 39761264640. Its totient is φ = 2041749504.

The previous prime is 10027444519. The next prime is 10027444589. The reversal of 10027444560 is 6544472001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9224337 + ... + 9225423.

It is an arithmetic number, because the mean of its divisors is an integer number (82835968).

Almost surely, 2^10027444560 is an apocalyptic number.

10027444560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10027444560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19880632320).

10027444560 is an abundant number, since it is smaller than the sum of its proper divisors (29733820080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10027444560 is a wasteful number, since it uses less digits than its factorization.

10027444560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 10027444560 in words is "ten billion, twenty-seven million, four hundred forty-four thousand, five hundred sixty".